common multiple
A common multiple refers to a number that is divisible by two or more given numbers
A common multiple refers to a number that is divisible by two or more given numbers. In other words, it is a number that both or all given numbers can divide evenly into.
To find common multiples, you first need to determine the multiples of each given number. A multiple of a number is obtained by multiplying it by another whole number.
For example, let’s find the common multiples of 4 and 6.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, …
From the above lists, we can see that the numbers 12 and 24 are common multiples of both 4 and 6.
To ensure you find all the common multiples, continue listing the multiples of each number until you find a few common numbers. The key is to look for numbers that appear in the lists of multiples of both given numbers.
In some cases, you may find that the common multiple is the least common multiple (LCM) of the given numbers. The LCM is the smallest multiple that two or more numbers have in common.
In this case, the LCM of 4 and 6 is 12.
You can also use prime factorization or the method of finding the least common multiple to find common multiples. However, listing multiples is a simple approach that works well for smaller numbers.
It’s worth mentioning that there can be an infinite number of common multiples between two numbers. The multiples continue indefinitely. However, the common multiples with a smaller value are often the most useful in many situations.
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